Unary and binary Leibniz algebras
N.A. Ismailov, A.S. Dzhumadil'daev
TL;DR
This paper characterizes unary and binary Leibniz algebras by identifying specific identities that define these classes, expanding understanding of Leibniz algebra structures.
Contribution
It provides new characterizations of unary and binary Leibniz algebras through algebraic identities, clarifying their structural properties.
Findings
Characterizations of unary Leibniz algebras via identities
Characterizations of binary Leibniz algebras via identities
Enhanced understanding of Leibniz algebra structures
Abstract
An algebra is said to be a unary Leibniz algebra if every one-generated subalgebra is a Leibniz algebra. An algebra is said to be a binary Leibniz algebra if every two-generated subalgebra is a Leibniz algebra. We give characterizations of unary and binary Leibniz algebras in terms of identities.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras